A threshold of ln n for approximating set cover (preliminary version)
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
Approximation algorithms for NP-hard problems
Approximation algorithms for NP-hard problems
Approximation algorithms for directed Steiner problems
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
Algorithms for energy-efficient multicasting in static ad hoc wireless networks
Mobile Networks and Applications
Constructing minimum-energy broadcast trees in wireless ad hoc networks
Proceedings of the 3rd ACM international symposium on Mobile ad hoc networking & computing
SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
Minimum-energy broadcast in all-wireless networks: NP-completeness and distribution issues
Proceedings of the 8th annual international conference on Mobile computing and networking
Energy-efficient broadcast and multicast trees in wireless networks
Mobile Networks and Applications
Energy-efficient broadcast and multicast trees in wireless networks
Mobile Networks and Applications
Energy Efficient Broadcast Routing in Static Ad Hoc Wireless Networks
IEEE Transactions on Mobile Computing
Minimum-power multicast routing in static ad hoc wireless networks
IEEE/ACM Transactions on Networking (TON)
A unified energy-efficient topology for unicast and broadcast
Proceedings of the 11th annual international conference on Mobile computing and networking
IEEE Transactions on Mobile Computing
Approximate Minimum-Energy Multicasting in Wireless Ad Hoc Networks
IEEE Transactions on Mobile Computing
Localized Operations for Distributed Minimum Energy Multicast Algorithm in Mobile Ad Hoc Networks
IEEE Transactions on Parallel and Distributed Systems
Energy-aware multicasting in wireless ad hoc networks: A survey and discussion
Computer Communications
Energy-efficient geographic multicast routing for Sensor and Actuator Networks
Computer Communications
Minimum energy mobile wireless networks
IEEE Journal on Selected Areas in Communications
Fault-Tolerant Routing: k-Inconnected Many-to-One Routing in Wireless Networks
COCOA '09 Proceedings of the 3rd International Conference on Combinatorial Optimization and Applications
Energy-efficient multicasting in wireless networks with fixed node transmission power
Proceedings of the 2009 International Conference on Wireless Communications and Mobile Computing: Connecting the World Wirelessly
Optimal and Near-Optimal Energy-Efficient Broadcasting in Wireless Networks
Euro-Par '09 Proceedings of the 15th International Euro-Par Conference on Parallel Processing
Fault-tolerant routing: k-inconnected many-to-one routing in wireless networks
Theoretical Computer Science
Approximation algorithms for multicast routing in ad hoc wireless networks
Journal of Combinatorial Optimization
Survey Paper: Routing protocols in ad hoc networks: A survey
Computer Networks: The International Journal of Computer and Telecommunications Networking
COCOA'11 Proceedings of the 5th international conference on Combinatorial optimization and applications
QoS multicast routing in cognitive radio ad hoc networks
International Journal of Communication Systems
Minimum energy multicast/broadcast routing with reception cost in wireless sensor networks
Theoretical Computer Science
Duty-cycle-aware minimum-energy multicasting in wireless sensor networks
IEEE/ACM Transactions on Networking (TON)
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In this paper, we discuss the energy efficient multicast problem in ad hoc wireless networks. Each node in the network is assumed to have a fixed level of transmission power. The problem of our concern is: given an ad hoc wireless network and a multicast request, how to find a multicast tree such that the total energy cost of the multicast tree is minimized. We first prove this problem is NP-hard and it is unlikely to have an approximation algorithm with a constant performance ratio of the number of nodes in the network. We then propose an algorithm based on the directed Steiner tree method that has a theoretically guaranteed approximation performance ratio. We also propose two efficient heuristics, node-join-tree (NJT) and tree-join-tree (TJT) algorithms. The NJT algorithm can be easily implemented in a distributed fashion. Extensive simulations have been conducted to compare with other methods and the results have shown significant improvement on energy efficiency of the proposed algorithms.